Lectures on Real Semisimple Lie Algebras and Their Representations
- ISBN-10
- 3037190027
- ISBN-13
- 9783037190029
- Category
- Mathematics
- Pages
- 100
- Language
- English
- Published
- 2004
- Publisher
- European Mathematical Society
- Author
- A. L. Onishchik
Description
The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the theory of Cartan-Iwahori. It concludes with some tables, where an involution of the Dynkin diagram that allows for finding self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. V. Silhan, this involution is interpreted in terms of the Satake diagram.
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